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Simplifying ab + -3a + 4b + 3(a + -1b) = 0 ab + -3a + 4b + (a * 3 + -1b * 3) = 0 ab + -3a + 4b + (3a + -3b) = 0 Reorder the terms: -3a + 3a + ab + 4b + -3b = 0 Combine like terms: -3a + 3a = 0 0 + ab + 4b + -3b = 0 ab + 4b + -3b = 0 Combine like terms: 4b + -3b = 1b ab + 1b = 0 Solving ab + 1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. ab + 1b + -1b = 0 + -1b Combine like terms: 1b + -1b = 0 ab + 0 = 0 + -1b ab = 0 + -1b Remove the zero: ab = -1b Divide each side by 'b'. a = -1 Simplifying a = -1
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